https://file.aiquickdraw.com/mathbot/file/1730648266177kt0c2xc7.jpg

Determine the perimeter of the figures below.

Should your final answer be a whole number, do not put a decimal point.

Should your final answer be a decimal, please round off to two decimal places.

Use a point, not a comma.

GO FOR IT!

Question 1

Perimeter = Blank 1 cm

To find the perimeter of this green figure, let's break it down by identifying all of the line segments and calculating their total length.

### Step-by-Step Solution:
1. **Identify all the sides in the figure:**
   - The top side: \( 12 \, \text{cm} \)
   - The left side (two segments combined): \( 4 \, \text{cm} + 2 \, \text{cm} = 6 \, \text{cm} \)
   - The long diagonal side: \( 26 \, \text{cm} \)
   - The bottom right segment adjacent to the long diagonal side: \( 4 \, \text{cm} \) 

2. **Sum the lengths of each side:**
   - Top side = \( 12 \, \text{cm} \)
   - Left side = \( 6 \, \text{cm} \)
   - Diagonal side = \( 26 \, \text{cm} \)
   - Bottom right segment = \( 4 \, \text{cm} \)

3. **Calculate the perimeter:**
   \[
   \text{Perimeter} = 12 + 6 + 26 + 4 = 48 \, \text{cm}
   \]

### Final Answer:
**Perimeter = 48 cm**

Would you like further details or explanations on any steps?

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Here are 5 related questions to expand your understanding:
1. How would the perimeter change if the diagonal side were extended by 5 cm?
2. What is the area of this figure?
3. How would you find the length of the hypotenuse in the inner right-angled triangle?
4. If the figure was scaled by a factor of 2, what would the new perimeter be?
5. How can we use the Pythagorean theorem to confirm the length of the sides in the figure?

**Tip:** When working with irregular shapes, break them down into familiar geometric shapes to simplify calculations.

Determine the perimeter of the figures below.

Learn how to calculate the perimeter of an irregular shape with multiple sides and angles. This example covers adding dimensions like 12 cm, 6 cm, and 26 cm, with detailed steps for middle school students. Ideal for Grades 5-7 geometry learners.

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